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Simplifying (6n + 8) + (3x + -3) + (5m + 6) = 0 Reorder the terms: (8 + 6n) + (3x + -3) + (5m + 6) = 0 Remove parenthesis around (8 + 6n) 8 + 6n + (3x + -3) + (5m + 6) = 0 Reorder the terms: 8 + 6n + (-3 + 3x) + (5m + 6) = 0 Remove parenthesis around (-3 + 3x) 8 + 6n + -3 + 3x + (5m + 6) = 0 Reorder the terms: 8 + 6n + -3 + 3x + (6 + 5m) = 0 Remove parenthesis around (6 + 5m) 8 + 6n + -3 + 3x + 6 + 5m = 0 Reorder the terms: 8 + -3 + 6 + 5m + 6n + 3x = 0 Combine like terms: 8 + -3 = 5 5 + 6 + 5m + 6n + 3x = 0 Combine like terms: 5 + 6 = 11 11 + 5m + 6n + 3x = 0 Solving 11 + 5m + 6n + 3x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 5m + 6n + -11 + 3x = 0 + -11 Reorder the terms: 11 + -11 + 5m + 6n + 3x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5m + 6n + 3x = 0 + -11 5m + 6n + 3x = 0 + -11 Combine like terms: 0 + -11 = -11 5m + 6n + 3x = -11 Add '-6n' to each side of the equation. 5m + 6n + -6n + 3x = -11 + -6n Combine like terms: 6n + -6n = 0 5m + 0 + 3x = -11 + -6n 5m + 3x = -11 + -6n Add '-3x' to each side of the equation. 5m + 3x + -3x = -11 + -6n + -3x Combine like terms: 3x + -3x = 0 5m + 0 = -11 + -6n + -3x 5m = -11 + -6n + -3x Divide each side by '5'. m = -2.2 + -1.2n + -0.6x Simplifying m = -2.2 + -1.2n + -0.6x
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